180261456768 has 768 divisors, whose sum is σ = 592079155200. Its totient is φ = 52378140672.

The previous prime is 180261456761. The next prime is 180261456769. The reversal of 180261456768 is 867654162081.

180261456768 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 6 + 14 + 567 + 68 = 666.

180261456768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×180261456768² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180261456761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2281790553 + ... + 2281790631.

It is an arithmetic number, because the mean of its divisors is an integer number (770936400).

Almost surely, 2^180261456768 is an apocalyptic number.

180261456768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180261456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296039577600).

180261456768 is an abundant number, since it is smaller than the sum of its proper divisors (411817698432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

180261456768 is a wasteful number, since it uses less digits than its factorization.

180261456768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 180261456768 in words is "one hundred eighty billion, two hundred sixty-one million, four hundred fifty-six thousand, seven hundred sixty-eight".